Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
-$$f ( x ) = 9 x ^ { 2 } + 5 x$$
A) $27 x - 11 h + 10$
B) $18 x + 5$
C) $18 x ^ { 2 } + 9 h + 5 x$
D) $18 x + 9 h + 5$

Question

Quizplus · Accepted Answer

The difference quotient is calculated by substituting $f(x + h)$ and $f(x)$ into the formula and simplifying: $\frac{(9(x+h)^2 + 5(x+h)) - (9x^2 + 5x)}{h}$. This simplifies to $18x + 9h + 5$.

Compute and Simplify the Difference Quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0

Compute and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$